Consider the balanced chemical reaction below. What is the maximum number of grams of silver chloride that can be formed if a solution containing 18.0 g of silver nitrate and 32.4 g of iron(III) chloride are mixed?

Respuesta :

Answer: 15.2 grams

Explanation:

The balanced chemical equation is :

[tex]FeCl_3(aq)+3AgNO_3(aq)\rightarrow 3AgCl(s)+Fe(NO_3)_3(aq)[/tex]

To calculate the moles :

[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]    

[tex]\text{Moles of} FeCl_3=\frac{32.4g}{162.2g/mol}=0.200moles[/tex]

[tex]\text{Moles of} AgNO_3=\frac{18.0g}{169.87g/mol}=0.106moles[/tex]

According to stoichiometry :

3 moles of [tex]AgNO_3[/tex] require =  1 mole of [tex]FeCl_3[/tex]

Thus 0.106 moles of [tex]AgNO_3[/tex] will require=[tex]\frac{1}{3}\times 0.106=0.0353moles[/tex] of [tex]FeCl_3[/tex]

Thus [tex]AgNO_3[/tex] is the limiting reagent as it limits the formation of product and [tex]FeCl_3[/tex] is the excess reagent.

As 3 moles of [tex]AgNO_3[/tex] give = 3 moles of [tex]AgCl[/tex]

Thus 0.106 moles of [tex]AgNO_3[/tex] give =[tex]\frac{3}{3}\times 0.106=0.106moles[/tex]  of [tex]AgCl[/tex]

Mass of [tex]AgCl=moles\times {\text {Molar mass}}=0.106moles\times 143.32g/mol=15.2g[/tex]

Thus 15.2 g of [tex]AgCl[/tex] will be produced from the given masses of both reactants.